Use of Principal Component Analysis for Data Reduction for Training Neural Networks PDF Download
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Author: Glen Gray Paschal
Publisher:
ISBN:
Category : Neural networks (Computer science)
Languages : en
Pages : 144
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Book Description
Author: Glen Gray Paschal
Publisher:
ISBN:
Category : Neural networks (Computer science)
Languages : en
Pages : 144
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Book Description
Author: Jason Brownlee
Publisher: Machine Learning Mastery
ISBN:
Category : Computers
Languages : en
Pages : 398
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Book Description
Data preparation involves transforming raw data in to a form that can be modeled using machine learning algorithms. Cut through the equations, Greek letters, and confusion, and discover the specialized data preparation techniques that you need to know to get the most out of your data on your next project. Using clear explanations, standard Python libraries, and step-by-step tutorial lessons, you will discover how to confidently and effectively prepare your data for predictive modeling with machine learning.
Author: Christopher J. C. Burges
Publisher: Now Publishers Inc
ISBN: 1601983786
Category : Computers
Languages : en
Pages : 104
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Book Description
We give a tutorial overview of several foundational methods for dimension reduction. We divide the methods into projective methods and methods that model the manifold on which the data lies. For projective methods, we review projection pursuit, principal component analysis (PCA), kernel PCA, probabilistic PCA, canonical correlation analysis (CCA), kernel CCA, Fisher discriminant analysis, oriented PCA, and several techniques for sufficient dimension reduction. For the manifold methods, we review multidimensional scaling (MDS), landmark MDS, Isomap, locally linear embedding, Laplacian eigenmaps, and spectral clustering. Although the review focuses on foundations, we also provide pointers to some more modern techniques. We also describe the correlation dimension as one method for estimating the intrinsic dimension, and we point out that the notion of dimension can be a scale-dependent quantity. The Nystr m method, which links several of the manifold algorithms, is also reviewed. We use a publicly available dataset to illustrate some of the methods. The goal is to provide a self-contained overview of key concepts underlying many of these algorithms, and to give pointers for further reading.
Author: I.T. Jolliffe
Publisher: Springer Science & Business Media
ISBN: 1475719043
Category : Mathematics
Languages : en
Pages : 283
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Book Description
Principal component analysis is probably the oldest and best known of the It was first introduced by Pearson (1901), techniques ofmultivariate analysis. and developed independently by Hotelling (1933). Like many multivariate methods, it was not widely used until the advent of electronic computers, but it is now weIl entrenched in virtually every statistical computer package. The central idea of principal component analysis is to reduce the dimen sionality of a data set in which there are a large number of interrelated variables, while retaining as much as possible of the variation present in the data set. This reduction is achieved by transforming to a new set of variables, the principal components, which are uncorrelated, and which are ordered so that the first few retain most of the variation present in all of the original variables. Computation of the principal components reduces to the solution of an eigenvalue-eigenvector problem for a positive-semidefinite symmetrie matrix. Thus, the definition and computation of principal components are straightforward but, as will be seen, this apparently simple technique has a wide variety of different applications, as weIl as a number of different deri vations. Any feelings that principal component analysis is a narrow subject should soon be dispelled by the present book; indeed some quite broad topics which are related to principal component analysis receive no more than a brief mention in the final two chapters.
Author: R Beale
Publisher: CRC Press
ISBN: 9781420050431
Category : Mathematics
Languages : en
Pages : 260
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Book Description
Neural computing is one of the most interesting and rapidly growing areas of research, attracting researchers from a wide variety of scientific disciplines. Starting from the basics, Neural Computing covers all the major approaches, putting each in perspective in terms of their capabilities, advantages, and disadvantages. The book also highlights the applications of each approach and explores the relationships among models developed and between the brain and its function. A comprehensive and comprehensible introduction to the subject, this book is ideal for undergraduates in computer science, physicists, communications engineers, workers involved in artificial intelligence, biologists, psychologists, and physiologists.
Author: Xiangyu Kong
Publisher: Springer
ISBN: 9811029156
Category : Technology & Engineering
Languages : en
Pages : 339
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Book Description
This book not only provides a comprehensive introduction to neural-based PCA methods in control science, but also presents many novel PCA algorithms and their extensions and generalizations, e.g., dual purpose, coupled PCA, GED, neural based SVD algorithms, etc. It also discusses in detail various analysis methods for the convergence, stabilizing, self-stabilizing property of algorithms, and introduces the deterministic discrete-time systems method to analyze the convergence of PCA/MCA algorithms. Readers should be familiar with numerical analysis and the fundamentals of statistics, such as the basics of least squares and stochastic algorithms. Although it focuses on neural networks, the book only presents their learning law, which is simply an iterative algorithm. Therefore, no a priori knowledge of neural networks is required. This book will be of interest and serve as a reference source to researchers and students in applied mathematics, statistics, engineering, and other related fields.
Author: Derong Liu
Publisher: Springer
ISBN: 3540723935
Category : Computers
Languages : en
Pages : 1346
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Book Description
This book is part of a three volume set that constitutes the refereed proceedings of the 4th International Symposium on Neural Networks, ISNN 2007, held in Nanjing, China in June 2007. Coverage includes neural networks for control applications, robotics, data mining and feature extraction, chaos and synchronization, support vector machines, fault diagnosis/detection, image/video processing, and applications of neural networks.
Author: Dr. Pramod Kumar
Publisher: Xoffencerpublication
ISBN: 811953414X
Category : Computers
Languages : en
Pages : 245
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Book Description
Machine learning is an area of artificial intelligence (AI) that focuses on the development of algorithms and models that allow computers to learn and make predictions or judgments without being explicitly programmed. This is accomplished by teaching the computer to learn from its own experiences. The creation and development of computer systems that are able to automatically analyze and understand complicated data in order to enhance their performance over time is the focus of this field. The foundation of machine learning is the construction of mathematical models that are capable of gaining knowledge from data. These models are educated using a collection of instances that have been labeled. This collection of examples is referred to as the training data, and it includes input features as well as output labels or goal values. Adjusting the model's internal parameters or weights in accordance with the patterns and relationships discovered in the data is what the training process entails. This is done with the intention of achieving a gap that is as narrow as possible between the anticipated outputs and the actual values. Reinforcement learning is a paradigm that entails an agent interacting with an environment and learning to make a series of choices or actions in order to maximize a cumulative reward. This paradigm was developed by Edward de Bono. The agent is provided with feedback in the form of incentives or penalties according to its actions, which teaches it the optimum behavior via the process of trial and error. The methodologies of machine learning are becoming more prevalent in a broad variety of fields and applications. Image and audio recognition, natural language processing, recommendation systems, fraud detection, autonomous cars, and medical diagnostics are just few of the numerous applications that may benefit from AI. Programming languages such as Python and R, in addition to libraries and frameworks such as scikit-learn, TensorFlow, and PyTorch, are often used when it comes to the implementation of machine learning algorithms. These tools offer a comprehensive array of functions and utilities for the preparation of data, as well as for the training, assessment, and deployment of models. Learning via machines is an active topic that is developing at a quick pace because to continuing research and technological breakthroughs. The potential for employing machine learning to tackle difficult issues and promote innovation is continuing to develop as more data becomes accessible and as computer power grows.
Author: A. R. Perrino
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Ian Nabney
Publisher: Springer Science & Business Media
ISBN: 9781852334406
Category : Computers
Languages : en
Pages : 444
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Book Description
Getting the most out of neural networks and related data modelling techniques is the purpose of this book. The text, with the accompanying Netlab toolbox, provides all the necessary tools and knowledge. Throughout, the emphasis is on methods that are relevant to the practical application of neural networks to pattern analysis problems. All parts of the toolbox interact in a coherent way, and implementations and descriptions of standard statistical techniques are provided so that they can be used as benchmarks against which more sophisticated algorithms can be evaluated. Plenty of examples and demonstration programs illustrate the theory and help the reader understand the algorithms and how to apply them.
